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A partially ordered set $P$ is \textit{ideal-homogeneous} provided that for any ideals $I$ and $J$, if $ I\cong_{\sigma}J$, then there exists an automorphism $\sigma^*$ such that $\sigma^*|_I = \sigma$. Behrendt~\cite{Beh} characterizes the ideal-homogeneous partially ordered sets of height $1$. In this paper, we characterize the ideal-homogeneous partially ordered sets of height 2 and find some families of ideal-homogeneous partially ordered sets.
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